Computational physics : problem solving with computers

This second edition increases the universality of the previous edition by providing all its codes in the Java language, whose compiler and development kit are available for free for essentially all operating systems. In addition, the accompanying CD provides many of the same codes in Fortran 95, Fortran 77, and C, for even more universal application, as well as MPI codes for parallel applications. The book also includes new materials on trial-and-error search techniques, IEEE floating point arithmetic, probability and statistics, optimization and tuning in multiple languages, parallel computing with MPI, JAMA the Java matrix library, the solution of simultaneous nonlinear equations, cubic splines, ODE eigenvalue problems, and Java plotting programs. From the reviews of the first edition: "Landau and Paez's book would be an excellent choice for a course on computational physics which emphasizes computational methods and programming." - American Journal of Physics This Second Edition Provides An Even Broader Survey Of The Techniques Of Computational Physics And Science Than The Previous Edition. It Features New Chapters On Visualisation, Wavelet Analysis, And Data Compression, Molecular Dynamics, And Computational Fluid Dynamics, An Expanded Treatment Of Fourier Analysis To Incorporate Wavelet Analysis And Filtering, Broader Coverage Of Partial Differential Equations To Include Fluid Dynamics, Realistic Waves, And Shock Waves, As Well As A More Extensive Treatment Of Computational Biology And Complex Systems.--jacket. Introduction -- Computing Software Basics -- Errors And Uncertainties In Computations -- Object-oriented Programming : Kinematics -- Integration -- Differentiation -- Trial And Error Searching -- Matrix Computing And N-d Newton Raphson -- Data Fitting -- Deterministic Randomness -- Monte Carlo Applications -- Thermodynamics Simulations : Ising Model -- Computer Hardware Basics : Memory And Cpu -- High-performance Computing : Profiling And Tuning -- Differential Equation Applications -- Quantum Eigenvalues Via Ode Matching -- Fourier Analysis Of Linear And Nonlinear Signals -- Unusual Dynamics Of Nonlinear Systems -- Differential Chaos In Phase Space -- Fractals -- Parallel Computing -- Parallel Computing With Mpi -- Electrostatics Potentials Via Finite Differences (pdes) -- Heat Flow -- Pde Waves On Strings And Membranes -- Solitons; Kdev And Sine-gordon -- Quantum Wave Packets -- Quantum Paths For Functional Integration -- Quantum Bound States Via Integral Equations -- Quantum Scattering Via Integral Equations. Rubin H. Landau, Manuel J. Páez And Cristian C. Bordeianu. This Ed. Originally Published: 2004. Includes Bibliographical References And Index. Computational science explores models of the natural and artificial world with the aim of understanding them at depths greater than otherwise possible.